The impact of velocity on Casson fluid passing through an infinite inclined accelerated plate

The current research examines the impact of velocity on a Casson fluid passing through an infinite inclined accelerated plate. The problem is the occurrence of radiation and magnetic parameters, and the governing equations are solved analytically using the Laplace transform method. The outcomes are illustrated through graphical representations, followed by a discussion on various physical aspects of the problem. The findings reveal that higher Casson parameter values reduce the velocity profile due to stronger yield-stress effects, while enhanced thermal radiation increases the fluid’s kinetic energy, thereby accelerating motion. Over time, the velocity profiles extend deeper into the fluid domain. Conversely, stronger magnetic fields suppress the velocity, whereas greater porosity enhances it by reducing resistance within the porous medium and enabling smoother flow. Inclined plates are widely used to study heat and fluid transport in systems such as geothermal units, heat exchangers, and solar collectors. Their geometry introduces gravitational effects, making the analysis more realistic than for horizontal or vertical surfaces.